If you bought a T-bill for $99.44 and held it for 180 days, what would be your return?

Answers

Answer 1

Answer:

  about 1.14%

Step-by-step explanation:

Assuming you can redeem the T-bill for $100 at the end of the period, the interest rate can be found from the formula for simple interest:

  I = Prt . . . . where P is the principal invested, r is the annual rate, and t is the number of years.

__

Here, we have ...

  (100 -99.44) = 99.44·r·(180/365) . . . . held for a fraction of a year

  0.56×365/(99.44×180) = r ≈ 0.0114195 ≈ 1.14% . . . . divide by the coefficient of r

Your return would be about 1.14%.


Related Questions

Determine the lateral and total surface area
of the regular triangular pyramid.
15 cm
13 cm
Lateral Surface Area
Total Surface Area

Answers

The areas of the square pyramid are the amount of space on it

The lateral surface area is 292.5 square cmThe total surface area is 354.85 square cm

How to determine the lateral surface area?

The given parameters are:

Base (b) = 15 cm

Slant height (l) = 13 cm

The lateral surface area is calculated using:

L = 1.5bl

So, we have:

L = 1.5 * 15 * 13

Evaluate the product

L = 292.5

How to determine the total surface area?

This is calculated using:

T = L + 0.25√3b^2

So, we have:

T = 292.5 + 0.25√3 * 12^2

Evaluate

T = 354.85

Hence, the total surface area is 354.85 square cm

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A research study compares three treatments with n=5 in each treatment. If the Ex values for the three treatments are 5, 10, and 15, then the between treatments' degrees of freedom would be equal to_
a) 12
b) 3
c) 2
d) 14

Answers

The between treatments' degrees of freedom would be equal to 10

What is degrees of freedom?

Degrees of freedom is a combination of how much data you have and how many parameters you need to estimate.

Given the data in the question;

A research study comparing three treatments with n = 5 in each treatment produce;

that is: n₁ = 5, n₂ = 5, n₃ = 5

T₁ = 5, T₂ = 10, T₃ = 15,

SS₁ = 6, SS₂ = 9, SS₃ = 9

∑x² = 94

First, we obtain the grand total;

G = T₁ + T₂ + T₃ = 5 + 10 + 15 = 30

N = n₁ + n₂ + n₃ = 5 + 5 + 5 = 15

Total SS =  ∑x² - ( G²/N )

we substitute

Total SS =  94 - ( (30)²/ 15 )

Total SS =  94 - ( 900 / 15 )

Total SS =  94 - 60

Total SS =  34

To get the SSbetween or Between SS;

Between SS = ∑( T²/n ) - ( G²/N )

Between SS = ∑( (5)²/5 + (10)²/5 + (15)²/5 ) - ( (30)²/ 15 )

Between SS = ∑( 25/5 + 100/5 + 225/5 ) - ( 900 / 15 )

Between SS = ∑( 5 + 20 + 45 ) - 60

Between SS = 70 - 60

Between SS = 10

Hence the between treatments' degrees of freedom would be equal to 10.

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If 46 is 23% how much is 100%

Answers

100% = 200

hope it helps..!!!

Find the prime factorization of 495=

Answers

Def. of Prime Factorization: defined as a way of finding the prime factors of a number

[tex]495=3^2*5*11[/tex]

Hope that helped!

Hope it helps 495:5*3*3*11

Helpppppppppppppppp
find x​

Answers

Answer:

Answer is √2+11/2

And you can use calculator to get even more accurate answer though...

Step-by-step explanation:

this is what i get i hope this will hepl you ♡

20. You may already use algebra in your daily life. How do you imagine that you will use basic algebraic equations in your healthcare career? Explain.

Answers

Depending on the path that we decide to take, the algebra can help us in many forms.

As an example in the pharmaceutical/medical area, the nurses and doctors use basic algebra formulas to calculate dosages on different drugs depending on variables such as the weigh of each patient (commonly expressed as X or Y).

They used to have some paper sheets with formulas for different drug preparations (liquid ones particularly) within hospitals to avoid errors in medication.

As a healthcare provider, it is important to be able to read vital signs. Many of these are expressed as algebraic equations. Such equations can also be important when it comes to administering the right doses of medicine or converting different units of measurement.

Solve for the unknown side and find perimeter of the figure below note that the figure is not drown to scale.​

Answers

Answer:

[tex]x = 12\ m,\ perimeter = 63\ m[/tex]

Step-by-step explanation:

Step 1:  Determine x

[tex]\frac{15\ m}{10\ m} = \frac{x}{8\ m}[/tex]

[tex](15\ m*8\ m) = (10\ m * x)[/tex]

[tex]120\ m^2 / 10\ m = x * 10\ m / 10\ m[/tex]

[tex]12\ m = x[/tex]

Step 2:  Determine the perimeter of the figure

[tex]18\ m + 15\ m + 10\ m + 8\ m + 12\ m[/tex]

[tex]63\ m[/tex]

Answer:  [tex]x = 12\ m,\ perimeter = 63\ m[/tex]

integrate the following by parts |xcos x dx​

Answers

[tex]\displaystyle \int x \cos x ~dx\\\\=x\displaystyle \int \cos x ~dx- \displaystyle \int \left(\dfrac{d}{dx} x \displaystyle \int \cos x ~dx \right) dx\\\\=x\sin x - \displaystyle \int\left( \sin x \right) dx\\ \\=x \sin x - (-\cos x) +C\\\\=x \sin x + \cos x +C[/tex]

find the value of X.
(√32)²= (X+2)²+x​

Answers

Answer:

Answer:x=−6.274917217635375,1.2749172176353745

Step-by-step explanation:

(3(2))2=(x+2)2+x12=x2+5x+4

Step 1: Subtract x^2+5x+4 from both sides.12−(x2+5x+4)=x2+5x+4−(x2+5x+4)−x2−5x+8=0

For this equation: a=-1, b=-5, c=7.999999999999998−1x2+−5x+8=0Step 2: Use quadratic formula with a=-1, b=-5, c=7.999999999999998.x=−b±b2−4ac2ax=−(−5)±(−5)2−4(−1)(8)2(−1)x=5±57−2x=−6.274917217635375,1.2749172176353745

What the dude said above me ^^^ lol

Les gusta mi dibujo a mano con lapiz y papel

Answers

Está bonito, solo algunos detalles, pero con practica creeme que va estar mejor. Los dedos de las manos hay que trabajar más, ¡Está bonito!

A farmer sells eggs in containers holding a dozen eggs. If he has 2178 eggs, how many containers will be filled completely? How many eggs will be left over?

Answers

Answer:

~181 containers filled completely, 6 eggs left over

Step-by-step explanation:

2178 ÷ 12 (a dozen, the number of eggs per container) = 181.5 containers

181 × 12 = 2,172 eggs

2,178 eggs - 2,172 = 6 eggs left over

PLEASE HELP ILL GIVE THANKS, 5.0, AND BRAINLIEST TO WHOEVER ANSWERS CORRECTLY PLEASE HELP AND ILL GIVE A HIGH POINT COUNT
Sophie bikes at a
speed of s miles per hour. Her friend Rana is slower, her biking
speed 1S only r miles per hour.
Today the girls went for 20 miles trip, each girl was biking at her usual speed. How
long did Sophie wait for Rana after her own arrival to the finish?

Answers

Answer:

if Rama road  1 mph  Sophie waited  (20-4) = 16 hours

Step-by-step explanation:

Sophie road 5 mph for 20 miles

distance = rate of speed times time traveled

d = st

20 =5t

t = 20/5 = 4 hours

Rana road r mph for 20 mile

d=rt

20=rt

t =20/r

Sophie waited  20/r - 4  hours

20/r -4 =  (20-4r)/r

if Rana road at   4 mph,  Sophie waited (20-4(4))/r =  4/4 = 1 hour

If Rana road at  3 mph,  Sophie waited (20-4(3))/3 = 8/3 = 2 hours 40 minutes

if Rama road at 2 mph  Sophie waited (20-4(2))/2 = 12/2 = 6 hours

if Rama road  1 mph  Sophie waited  (20-4) = 16 hours

I. Elena wants to estimate what proportion of computers produced at a factory have a certain defect. A random sample of 200 computers shows that 12 computers have the defect. She is willing to assume independence between computers in the sample. Based on this sample, construct a 95% confidence interval for the proportion of computers that have the defect.

a
(0.4529, 0.5871)
b
(0.02709, 0.09291)
c
(0.02131, 0.09869)
d
(0.0309, 0.0691)

Answers

The answer is (A) 0.4529, 0.5871

Can someone please answer the question in the photo attached below for me :) i would really appreciate it and i will also mark brainliest if answered correctly

Answers

Answer:x^5

Step-by-step explanation:

[tex]\sqrt[b]{x^a}[/tex] = x^(a/b)

[tex]\sqrt[6]{x^5}[/tex] = x^(5/6)

(x^(5/6))^7

multiply 7 by numerator 5

x^(35/6)

x^(35/6)

[tex](\sqrt[6]{x^5} )^7[/tex] expression can be written in rational exponent as [tex]x^\frac{35}{6}[/tex]

 

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is [tex](\sqrt[6]{x^5} )^7[/tex]

We have an exponential property [tex]\sqrt[b]{x^a} =x^\frac{a}{b}[/tex]

By using this property we solve the given expression  [tex](\sqrt[6]{x^5} )^7[/tex]

We have to convert to rational exponent.

[tex](\sqrt[6]{x^5} )^7=(x^\frac{5}{6})^7[/tex]

=[tex]x^\frac{35}{6}[/tex]

Hence, [tex](\sqrt[6]{x^5} )^7[/tex] expression can be written in rational exponent as [tex]x^\frac{35}{6}[/tex]

 

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need help really please someone​

Answers

Answer:

5/6 x 1 = 5/6 2/3 x 2= 4/6. 5/6 is greater than

2/3

Step-by-step explanation:

find a common denominator then see which one has more value

The average mass of a grain of sand from
a certain beach is 9 × 10-8 kilograms.
What is this value in grams? Give your
answer in standard form.

Answers

Answer:

0.0009 grams

Step-by-step explanation:

The mass of the grain sand is:

[tex]9 \times {10}^{ - 8} \: Kg[/tex]

To convert kilograms to grams we divide by 1000 (1 × 10³)

[tex] \frac{9 \times {10}^{ - 8} }{1 \times {10}^{3} } [/tex]

Which gives us:

[tex]9 \times {10}^{ - 5} [/tex]

[tex]9 \times {10}^{ - 5} = 0.0009 \: g[/tex]

A can is shaped like a cylinder 5.2 cm wide and 2.3 cm tall. find the volume of the nearest tenth. use 3.14 for pie.
Please help me!!
30 points for it!!!!!!!!!!

Answers

Answer: 48.8

Step-by-step explanation: The equation for the area of a circle is π*r², since the base of a cylinder is a circle we take the equation of a circle and multiply the height of the cynlinder by using the equation π*r²*h to get the volume of a cylinder. In this case our factors are

π= 3.14

r²= 6.76  

h=2.3

3.14*6.76*2.3=48.82072

rounded to the nearest tenth=48.8

Answer: the answer is 48.8

Pls help! ASAP [tex] [/tex]

Answers

Answer:

BC

Seg AC

Ray KM

can you please help me find the area. I put 141 but it says that i am wrong. Can anybody help and say what i did wrong.

Answers

Answer:

3120 think

Step-by-step explanation:

i just did 3x8x10x13

write 82/10 as a mixed number in simplest terms brainly

A) 8 2/10
B) 10 1/4
C) 8 1/5
D) 2 4/5

Answers

Answer:

C) 8 1/5

Step-by-step explanation:

82/10= 8 2/10= 8 1/5

Answer:

A) 8 2/10

Step-by-step explanation:

10 goes into 82 8 times with a remainder of 2

Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.)


A). (tan(x) − 4)(9 sin^2(x) − 1) = 0

B). 3 sin(2x) − 4 sin(x) = 0

Answers

Answer:

Step-by-step explanation:

A)[tex](tanx-4)(9sin^2x-1)=0\\\\\\[/tex]

[tex]9sin^2x-1=0\\\\sin^2x=\frac{1}{9} sinx=\frac{1}{3}[/tex] or [tex]sinx=\frac{-1}{3}[/tex]

OR    [tex]tanx=4\\[/tex]

B)

[tex]3sin2x=3.2.sinx.cosx\\\\6.sinx.cosx-4.sinx= 2sinx.(3cosx-2)=0\\\\3.cosx=2 cosx=\frac{2}{3}[/tex]

Select the equivalent expression.
(25-23)=?
Choose 1 answer:
28.29
a15 26
a8.26
a15 2²



Urgent please help

Answers

It has to be a15 26 I don’t know tho

A car depreciates at a rate of 30% per year. How much will
a $20 000 car be worth after five years? (3 marks)

Answers

[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &20000\\ r=rate\to 30\%\to \frac{30}{100}\dotfill &0.3\\ t=\textit{elapsed time}\dotfill &5\\ \end{cases} \\\\\\ A=20000(1 - 0.3)^{5}\implies A=20000(0.7)^5\implies A=3361.4[/tex]

Find the value of b that would cause the graph of f(x)=b^x to look like the graph with points (0,1) and (2,25)

I am having trouble with this one.

Answers

[tex]f(x)=a(b)^x \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x}{0}~~,~~\stackrel{y}{1})\qquad 1=a(b)^0\implies 1=a~\hfill \underline{f(x)=1(b)^x} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x}{2}~~,~~\stackrel{y}{25})\qquad 25=1(b)^2\implies 25=b^2\implies \sqrt{25}=b\implies 5=b \\\\[-0.35em] ~\dotfill\\\\ f(x)=1(5)^x\implies \underline{f(x)=5^x}[/tex]

Carolyn bought 9 feet of copper pipe for 54$ what was the cost of each foot of copper pipe?

Answers

Answer:

54÷9= 6

so its $6 a foot of copper

Ok so what you are going to do is divide 54 by 9 and you should get 6 now you have your answer $6.00

You roll a 6-sided die. What is P(divisor of 12)? Write your answer as a fraction or whole number.​

Answers

Answer:

[tex]\frac{5}{6}[/tex]

Step-by-step explanation:

The divisors of 12 that are ≤12 are 1, 2, 3, 4, and 6. The probability that the roll of a dice will be a divisor of 12 is 5/6.

Answer:

Step-by-step explanation:

5/6

what’s the height of the cylinder? Is it 6? Or do i have to find it with the 17. Is it 10?
PLS HELP

Answers

Answer:

Cylinder height = 10

Semi-circle height = 3

Cone height = 4

Step-by-step explanation:

The height of the cylinder is always going to be the long side. 6 is the diameter of its circle. Here is a list of variables:

Diameter, D = 6

Radius, r = 3

Slant height of cone, c = 5

To find the height of the cylinder, we will need to find the height's of the cone and semi-circle:

CONE (see image attached)

a² + b² = c²

3² + h² = 5²

h² = 25 - 9

h = √16

h = 4

SEMI-CIRCLE

h = radius

h = 3

CYLINDER

Cylinder height = total h - semi-circle h - cone h

h = 17 - 3 - 4

h = 10

I'm not sure if you're trying to solve for volume, so I'll end it here LOL. Hope this helps and have a great evening!

the length of a rectangle is 10 cm and its width is 2 cm less than 1/2 of its length. find the area of the rectangle​

Answers

Answer:

A=wl=3·10=30

A=30

Step-by-step explanation:

eter and Area
5
Annita is sewing a lace edge around a rectangular quilt. She will need 160 inches of lace to do the entire quilt. If the quilt is 46
inches wide, how long is the quilt?
A. 32 inches
B. 34 inches
C. 80 inches
D.
68 inches
Reset
Submit

Answers

Answer:

B. 34 inches

Step-by-step explanation:

its 34 inches because you do 46x2 because of the two sides and you will get 92. Then subtract 92 from 160 to find out the other side and you will get 68. Then do 68÷2 because you have to find the other side and you will get 34

Find each difference vertically.
3. (2x ^2 – 2x ^4) — (x4 – x2)

Answers

Answer:

answer: -2x^4 +2x^2-2x

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What I Know Write each as they would appear on a 24-hour digital clock. Morning Afternoon 1. Five minutes pass 8 2. Quarter of 12. 3. Six minutes to 10 4. Twenty minutes past 1 5. Twenty-five minutes to 9 6. Ten minutes to 3 7. Eighteen minutes pass 5 8. Fourteen minutes to 7 9. Half pass 1 10. Twelve minutes past 12 Ex. 3 A printing press prints 120 sheets in 3 min . ( 1) Express the printing as a rate. ( 2) How many sheets are printed in 1 h? (3) How long will it take to print 1000 sheets? Please help!!What do scientists do when they want to name a new organism?all of the aboveThey see how the organism is similar to other organisms.They see if the organism has the characteristics of an animal or plant.They look at what makes the organism unique. In the 13th century, who was the mostpowerful nation in eastern eEurope?A. Ottoman EmpireB. ItalyC. RussiaD. 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